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Finding the Fourth Proportional to 230,507.78, 345,678.62 and 97,398.42

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Solution

The fourth proportional to 230,507.78, 345,678.62 and 97,398.42 is: 146,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,507.78 : 345,678.62 = 97,398.42 : x
  2. Step 2: Convert to fraction form
    230,507.78/345,678.62 = 97,398.42/x
  3. Step 3: Cross multiply
    230,507.78x = 345,678.62 × 97,398.42
  4. Step 4: Simplify right side
    230,507.78x = 33,668,551,415.78
  5. Step 5: Solve for x
    x = 33,668,551,415.78/230,507.78
  6. Step 6: Final answer
    x = 146,062.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.